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3 years ago

Challenge: You buy 3.19 pounds of Oranges, 1.25 pounds of Grapes, and 1.82 pounds of Pears. What is your total bill?

Mathematics

2 answers:

cluponka [151]3 years ago

4 0

Answer:

3.17 pounds of apples

1.25 pounds of pears 2

2.56 pounds of oranges

add = 7.98

I think...?

;-;

Sindrei [870]3 years ago

3 0

I Don’t Know But Good Luck >.

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Six more than three times a number w. An expression for this phase is..? (Please help)

satela [25.4K]

Answer:6+3w

Step-by-step explanation:

So, our number is "W"

SO, 6 more than three times w is

6+3w

Three times w=3w

Then, it says 6 more, so we add 6

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3 years ago

Read 2 more answers

Expand the following expression

masya89 [10]

Answer:

$\frac{5}{4} \times 4x + \frac{5}{4} \times \frac{3}{4} = 5x + \frac{15}{16}$

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2 years ago

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 with th

shusha [124]

22.6sin[39.0]= 21.78

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2 years ago

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six

kherson [118]

Answer:

x = 0.53 cm

Maximum volume = 1.75 cm³

Step-by-step explanation:

Refer to the attached diagram:

The volume of the box is given by

$V = Length \times Width \times Height \\\\$

Let x denote the length of the sides of the square as shown in the diagram.

The width of the shaded region is given by

$Width = 3 - 2x \\\\$

The length of the shaded region is given by

$Length = \frac{1}{2} (5 - 3x) \\\\$

So, the volume of the box becomes,

$V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\$

In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

$\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\$

We are left with a quadratic equation.

We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where

$a = 18 \\\\b = -38 \\\\c = 15 \\\\$

$x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\$

Volume of the box at x= 1.59:

$V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\$

Volume of the box at x= 0.53:

$V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3$

The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0

3 years ago

Simplify the expression. Explain each step: 1. 3.5 + (x + 2.7) 2. (8 x k) x 4

barxatty [35]

In a way, you are adding like terms.
3.5 + 2.7 = 6.2, therefore making the answer 6.2 + x

The brackets can be ignored so you are really just asked 8 x 4 x k. 8 x 4 =32 so you end up with 32k

8 0

3 years ago

Challenge: You buy 3.19 pounds of Oranges​, 1.25 pounds of ​Grapes, and 1.82 pounds of Pears. What is your total bill?

Challenge: You buy 3.19 pounds of Oranges, 1.25 pounds of Grapes, and 1.82 pounds of Pears. What is your total bill?